9600
4-cycle (see 1600).
96002 = 92160000, 16002 = 02560000, 56002 = 31360000, 36002 = 12960000,
Other examples: 2916 - 5030 - 3009 - 0540 - 2916, and 2100 - 4100 - 8100 - 6100 - 2100.
104 + 9600 = 1402, 104 - 9600 = 202.
Page of Squares : First Upload October 6, 2008 ; Last Revised August 9, 2011by Yoshio Mimura, Kobe, Japan
9602
96025 = 81622239812813568032 :
82 + 12 + 62 + 22 + 222 + 392 + 82 + 12 + 282 + 132 + 52 + 62 + 802 + 32 + 22
= 82 + 12 + 62 + 222 + 22 + 392 + 82 + 12 + 282 + 132 + 52 + 62 + 802 + 32 + 22
= 82 + 12 + 62 + 22 + 22 + 22 + 392 + 82 + 12 + 22 + 812 + 352 + 62 + 82 + 02 + 32 + 22
= 82 + 12 + 62 + 22 + 22 + 22 + 392 + 812 + 22 + 82 + 12 + 352 + 62 + 82 + 02 + 32 + 22
= 812 + 62 + 22 + 22 + 22 + 392 + 82 + 12 + 22 + 82 + 12 + 352 + 62 + 82 + 02 + 32 + 22 = 9602.
by Yoshio Mimura, Kobe, Japan
9603
96032 = 92217609, and 92 + 22 + 22 + 12 + 72 + 62 + 02 + 92 = 162.
Page of Squares : First Upload October 6, 2008 ; Last Revised October 6, 2008by Yoshio Mimura, Kobe, Japan
9604
The square of 98.
Komachi equations:
96042 = 94 * 84 * 74 / 64 / 544 * 34 * 214 = 984 + 74 - 64 / 544 * 34 * 214
= 984 + 74 / 64 * 544 - 34 * 214 = 984 + 74 / 64 * 544 / 34 - 214
= 984 - 74 + 64 / 544 * 34 * 214 = 984 - 74 / 64 * 544 + 34 * 214
= 984 - 74 / 64 * 544 / 34 + 214 = 984 * 74 / 64 * 544 / 34 / 214
= 984 / 74 * 64 / 544 * 34 * 214.
by Yoshio Mimura, Kobe, Japan
9607
96072 = 92294449, a square with just 3 kinds of digits.
96072 = 92294449 with 9229444 = 30382 and 9 = 33.
Page of Squares : First Upload October 6, 2008 ; Last Revised October 6, 2008by Yoshio Mimura, Kobe, Japan
9608
96082 = 24 + 144 + 144 + 984.
Page of Squares : First Upload October 6, 2008 ; Last Revised October 6, 2008by Yoshio Mimura, Kobe, Japan
9609
Komachi equation: 96092 = 984 + 74 - 64 + 544 / 34 - 24 - 104.
Page of Squares : First Upload November 29, 2010 ; Last Revised November 29, 2010by Yoshio Mimura, Kobe, Japan
9611
96112 = 983 + 3373 + 3763.
1 / 9611 = 0.00010404...., and 10404 = 1022.
Page of Squares : First Upload October 6, 2008 ; Last Revised October 6, 2008by Yoshio Mimura, Kobe, Japan
9612
96122 = (12 + 8)(22 + 8)(92 + 8)(982 + 8) = (92 + 8)(102 + 8)(982 + 8).
96122 = 183 + 343 + 4523 = 183 + 1083 + 4503 = 933 + 2833 + 4103.
Page of Squares : First Upload October 6, 2008 ; Last Revised January 11, 2014by Yoshio Mimura, Kobe, Japan
9614
1 / 9614 = 0.000104014978156, 102 + 42 + 02 + 142 + 92 + 782 + 12 + 562 = 9614,
1 / 9614 = 0.000104014978156, 102 + 42 + 0142 + 92 + 782 + 12 + 562 = 9614.
by Yoshio Mimura, Kobe, Japan
9615
The square root of 9615 is 98.056106...., and 98 = 02 + 52 + 62 + 12 + 02 + 62.
Page of Squares : First Upload October 6, 2008 ; Last Revised October 6, 2008by Yoshio Mimura, Kobe, Japan
9617
96172 = 98.0663041...., and 98 = 02 + 62 + 62 + 32 + 02 + 42 + 12.
96175 = 82261775754871227857 :
82 + 222 + 62 + 172 + 72 + 52 + 72 + 52 + 42 + 872 + 122 + 272 + 82 + 52 + 72 = 9617.
by Yoshio Mimura, Kobe, Japan
9619
96192 = 92525161, a zigzag square.
Page of Squares : First Upload October 6, 2008 ; Last Revised October 6, 2008by Yoshio Mimura, Kobe, Japan
9620
96202 = (12 + 1)(22 + 1)(32 + 1)(52 + 1)(62 + 1)(312 + 1) = (12 + 1)(52 + 1)(312 + 1)(432 + 1)
= (12 + 1)(52 + 1)(62 + 1)(72 + 1)(312 + 1)
= (122 + 4)(162 + 4)(492 + 4) = (32 + 4)(42 + 4)(122 + 4)(492 + 4).
1378k + 3354k + 4446k + 7722k are squares for k = 1,2,3 (1302, 96202, 7672602).
Page of Squares : First Upload July 18, 2011 ; Last Revised January 11, 2014by Yoshio Mimura, Kobe, Japan
9621
96212 = 92563641, and 9256 + 364 + 1 = 9621.
Page of Squares : First Upload October 6, 2008 ; Last Revised October 6, 2008by Yoshio Mimura, Kobe, Japan
9624
96242 = 243 + 643 + 4523 = 1763 + 3243 + 3763.
Page of Squares : First Upload October 6, 2008 ; Last Revised October 6, 2008by Yoshio Mimura, Kobe, Japan
9625
96252 = (12 + 6)(72 + 6)(132 + 6)(372 + 6).
96252 = (138 + 139 + 140 + 141 + 142)2 + (143 + 144 + 145 + 146 + 147)2 + (148 + 149 + 150 + 151 + 152)2 + ... + (383 + 384 + 385 + 386 + 387)2.
96252 = 92640625 with 9 = 32 and 2640625 = 16252.
Page of Squares : First Upload October 6, 2008 ; Last Revised January 11, 2014by Yoshio Mimura, Kobe, Japan
9627
96275 = 82690355506816316907 :
82 + 262 + 92 + 02 + 352 + 52 + 502 + 682 + 12 + 62 + 32 + 162 + 92 + 02 + 72
= 82 + 262 + 92 + 02 + 352 + 52 + 502 + 682 + 162 + 32 + 12 + 62 + 92 + 02 + 72 = 9627.
by Yoshio Mimura, Kobe, Japan
9628
96282 = 44 + 524 + 524 + 944.
Page of Squares : First Upload October 6, 2008 ; Last Revised October 6, 2008by Yoshio Mimura, Kobe, Japan
9631
96312 = 92756161, a zigzag square.
Page of Squares : First Upload October 6, 2008 ; Last Revised October 6, 2008by Yoshio Mimura, Kobe, Japan
9632
96322 = (32 + 7)(62 + 7)(72 + 7)(492 + 7).
Page of Squares : First Upload January 11, 2014 ; Last Revised January 11, 2014by Yoshio Mimura, Kobe, Japan
9633
96332 = 1003 + 1823 + 4413.
Page of Squares : First Upload October 6, 2008 ; Last Revised October 6, 2008by Yoshio Mimura, Kobe, Japan
9638
96382± 3 are primes.
Page of Squares : First Upload January 18, 2014 ; Last Revised January 18, 2014by Yoshio Mimura, Kobe, Japan
9639
96392 = (41 + 42 + 43 + ... + 103)2 + (104 + 105 + 106 + ... + 166)2.
Page of Squares : First Upload October 9, 2008 ; Last Revised October 9, 2008by Yoshio Mimura, Kobe, Japan
9640
96402 = 43 + 2443 + 4283 = 663 + 3523 + 3663.
96402 = 92929600, and 9 + 29 + 2 + 9600 = 9640.
96405 = 83250177761382400000 :
82 + 32 + 22 + 502 + 172 + 772 + 62 + 132 + 82 + 242 + 02 + 02 + 02 + 02 + 02 = 9640.
by Yoshio Mimura, Kobe, Japan
9642
96422 = 92968164, a zigzag square.
Page of Squares : First Upload October 6, 2008 ; Last Revised October 6, 2008by Yoshio Mimura, Kobe, Japan
9643
96432 = 125 + 145 + 205 + 255 + 385.
Page of Squares : First Upload October 6, 2008 ; Last Revised October 6, 2008by Yoshio Mimura, Kobe, Japan
9645
96452 = 573 + 2843 + 4123 = 1023 + 2173 + 4343.
Page of Squares : First Upload October 6, 2008 ; Last Revised October 6, 2008by Yoshio Mimura, Kobe, Japan
9646
9646 = (12 + 22 + 32 + ... + 522) / (12 + 22).
Page of Squares : First Upload November 25, 2008 ; Last Revised November 25, 2008by Yoshio Mimura, Kobe, Japan
9648
96482 = 663 + 1743 + 4443.
Page of Squares : First Upload October 6, 2008 ; Last Revised October 6, 2008by Yoshio Mimura, Kobe, Japan
9649
The square root of 9649 is 98.2293...., and 98 = 22 + 22 + 92 + 32.
Page of Squares : First Upload October 6, 2008 ; Last Revised October 6, 2008by Yoshio Mimura, Kobe, Japan
9654
96542 = 93199716, a square with odd digits except the last digit 6.
Page of Squares : First Upload August 24, 2013 ; Last Revised August 24, 2013by Yoshio Mimura, Kobe, Japan
9657
The square root of 9657 is 98.270036...., and 98 = 22 + 72 + 02 + 02 + 32 + 62.
Page of Squares : First Upload October 6, 2008 ; Last Revised October 6, 2008by Yoshio Mimura, Kobe, Japan
9658
96582 = 313 + 663 + 4533.
96585 = 84030317662107364768 :
82 + 42 + 02 + 32 + 02 + 32 + 12 + 72 + 62 + 622 + 102 + 732 + 62 + 42 + 72 + 62 + 82 = 9658.
by Yoshio Mimura, Kobe, Japan
9659
1 / 9659 = 0.0001035303861683, 102 + 32 + 52 + 302 + 382 + 62 + 162 + 832 = 9659.
Page of Squares : First Upload October 6, 2008 ; Last Revised October 6, 2008by Yoshio Mimura, Kobe, Japan
9660
9660sup>2 = (32 + 5)(52 + 5)(152 + 5)(312 + 5).
9177k + 9660k + 11454k + 12558k are squares for k = 1,2,3 (2072, 215972, 22709972).
The integral triangle of sides 12025, 15617, 20742 has square area 96602.
Page of Squares : First Upload July 18, 2011 ; Last Revised January 11, 2014by Yoshio Mimura, Kobe, Japan
9664
96642 = (52 + 7)(122 + 7)(1392 + 7).
Page of Squares : First Upload October 6, 2008 ; Last Revised January 11, 2014by Yoshio Mimura, Kobe, Japan
9665
96652 = 93412225, and 92 + 32 + 42 + 12 + 22 + 22 + 22 + 52 = 122.
Page of Squares : First Upload October 6, 2008 ; Last Revised October 6, 2008by Yoshio Mimura, Kobe, Japan
9666
96662 = 1423 + 2853 + 4073.
96665 = 84378918376513260576 :
82 + 42 + 32 + 72 + 82 + 92 + 12 + 82 + 372 + 652 + 12 + 32 + 22 + 602 + 52 + 72 + 62
= 82 + 42 + 372 + 82 + 92 + 12 + 82 + 32 + 72 + 652 + 12 + 32 + 22 + 602 + 52 + 72 + 62 = 9666.
by Yoshio Mimura, Kobe, Japan
9667
96672 = 1533 + 2803 + 4083.
Page of Squares : First Upload October 6, 2008 ; Last Revised October 6, 2008by Yoshio Mimura, Kobe, Japan
9668
96682 = 84 + 284 + 284 + 984 = 95 + 125 + 165 + 185 + 395.
Page of Squares : First Upload October 6, 2008 ; Last Revised October 6, 2008by Yoshio Mimura, Kobe, Japan
9669
96692 = 93489561, and 9 * 3 * 4 * 89 + 56 + 1 = 9669.
Page of Squares : First Upload October 6, 2008 ; Last Revised October 6, 2008by Yoshio Mimura, Kobe, Japan
9671
96712 = 204 + 704 + 734 + 804.
96712 = 93528241, a zigzag square.
Page of Squares : First Upload October 6, 2008 ; Last Revised October 6, 2008by Yoshio Mimura, Kobe, Japan
9672
96722 = 93547584, a zigzag square.
96722 = (12 + 3)(32 + 3)(62 + 3)(112 + 3)(202 + 3).
Page of Squares : First Upload October 6, 2008 ; Last Revised January 11, 2014by Yoshio Mimura, Kobe, Japan
9673
96732 = 384 + 434 + 764 + 864 = 464 + 644 + 764 + 794.
Page of Squares : First Upload October 6, 2008 ; Last Revised October 6, 2008by Yoshio Mimura, Kobe, Japan
9675
96752 = 653 + 2403 + 4303.
96752 = 93605625, and 9360 + 5 + 62 * 5 = 9360 + 5 * 62 + 5 = 9675.
Page of Squares : First Upload October 6, 2008 ; Last Revised October 6, 2008by Yoshio Mimura, Kobe, Japan
9680
96802 = 363 + 2483 + 4283 = 443 + 2973 + 4073 = 1763 + 3303 + 3743.
Page of Squares : First Upload October 6, 2008 ; Last Revised October 6, 2008by Yoshio Mimura, Kobe, Japan
9682
96822± 3 are primes.
Page of Squares : First Upload January 18, 2014 ; Last Revised January 18, 2014by Yoshio Mimura, Kobe, Japan
9683
96835 = 85123536687877648643 :
82 + 52 + 122 + 32 + 532 + 662 + 82 + 72 + 82 + 72 + 72 + 62 + 42 + 82 + 62 + 432 = 9683.
by Yoshio Mimura, Kobe, Japan
9685
96855 = 85211483303667053125 :
852 + 212 + 142 + 82 + 32 + 32 + 02 + 32 + 62 + 62 + 72 + 02 + 52 + 312 + 252 = 9685.
by Yoshio Mimura, Kobe, Japan
9686
96862 = 93818596, a zigzag square.
96862 = 93818596, and 92 + 32 + 82 + 12 + 82 + 52 + 92 + 62 = 192.
96865 = 85255483862113038176 :
82 + 52 + 22 + 52 + 542 + 82 + 32 + 82 + 622 + 12 + 12 + 302 + 382 + 172 + 62
= 82 + 52 + 22 + 52 + 542 + 82 + 382 + 622 + 12 + 12 + 302 + 32 + 82 + 172 + 62 = 9686.
by Yoshio Mimura, Kobe, Japan
9687
96872 = 24 + 44 + 484 + 974.
Page of Squares : First Upload October 6, 2008 ; Last Revised October 6, 2008by Yoshio Mimura, Kobe, Japan
9690
The integral triangle of sides 6205, 35587, 39208 (or 27455, 117064, 144481) has square area 96902.
Page of Squares : First Upload October 21, 2011 ; Last Revised October 21, 2011by Yoshio Mimura, Kobe, Japan
9691
96912 = 93915481, a zigzag square.
Page of Squares : First Upload October 6, 2008 ; Last Revised October 6, 2008by Yoshio Mimura, Kobe, Japan